Advanced Functional Materials, EarlyView.The MPTT‐nanozyme‐hydrogel system (Mn3O4@ChS‐HA) provides a multifunctional therapeutic strategy for intervertebral disc degeneration (IVDD), effectively targeting oxidative stress and enhancing AF repair by restoring extracellular matrix (ECM) and redox homeostasis.
Yangyang Chen +13 more
wiley +1 more source
Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
Electronic Journal of Differential Equations, 2013 Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
doaj
Existence, Uniqueness and Convergence of Simultaneous Distributed-Boundary Optimal Control Problems [PDF]
, 2015 We consider a steady-state heat conduction problem $P$ for the Poisson equation with mixed boundary conditions in a bounded multidimensional domain $\Omega$.
Gariboldi, Claudia M. +1 more
core +1 more source
Quantum Emitters in Hexagonal Boron Nitride: Principles, Engineering and Applications
Advanced Functional Materials, EarlyView.Quantum emitters in hexagonal boron nitride have emerged as a promising candidate for quantum information science. This review examines the fundamentals of these quantum emitters, including their level structures, defect engineering, and their possible chemical structures.
Thi Ngoc Anh Mai +8 more
wiley +1 more source
Ground states solutions for modified fourth-order elliptic systems with steep well potential
, 2018 In this paper, we study the following modified quasilinear fourth-order elliptic systems 42u−4u+ (λα(x) + 1)u− 1 2 4(u2)u = p p+ q |u|p−2|v|qu, in R, 42v−4v+ (λβ(x) + 1)v− 1 2 4(v2)v = q p+ q |u|p|v|q−2v, in R, where 42 = 4(4) is the biharmonic ...
Liuyang Shao, Haibo Chen
semanticscholar +1 more source
Infinitely many solutions for nonlocal elliptic systems of (p_1,...,p_n)-Kirchhoff type
Electronic Journal of Differential Equations, 2012 We establish the existence of infinitely many solutions for a class of nonlocal elliptic systems of (p_1,...,p_n)-Kirchhoff type. Our approach is based on variational methods.
Shapour Heidarkhani, Johnny Henderson
doaj
Nonlinear elliptic equations with high order singularities [PDF]
, 2016 We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core
Finite element approximation of source term identification with TV-regularization
, 2019 In this paper we investigate the problem of recovering the source term in an elliptic system from a measurement of the state on a part of the boundary.
Hinze, Michael, Quyen, Tran Nhan Tam
core +1 more source
Matrix Tropism Influences Endometriotic Cell Attachment Patterns
Advanced Functional Materials, EarlyView.The influence of substrate stiffness and multicellular coculture on endometriotic cell attachment to extracellular matrix‐laden microarrayed islands is reported. This model investigates early endometriotic cell attachment, aiming to capture “lesion initiation events”.
Hannah S. Theriault +7 more
wiley +1 more source
Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems
Electronic Journal of Differential Equations, 2012 The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, two, or three solutions ...
Gabriele Bonanno, Elisabetta Tornatore
doaj